Nucleon and Δ resonances in $K\Sigma (1385)$ photoproduction from nucleons

The reaction mechanisms for $K\Sigma (1385)$ photoproduction from the reaction $\gamma p\to K^{+}{\Sigma }^0(1385)$ in the resonance energy region are investigated in a hadronic model. Both contributions from $N$ and Δ resonances of masses around 2 GeV as given in the Review of Particle Data Group and by the quark model predictions are included. The Lagrangians for describing the decays of these resonances into $K\Sigma (1385)$ are constructed with the coupling constants determined from the decay amplitudes predicted by a quark model. Comparing the resulting total cross section for the reaction $\gamma p\to K^{+}{\Sigma }^0(1385)$ with the preliminary data from the Thomas Jefferson National Accelerator Facility, we find that the most important contributions are from the two-star-rated resonances $\Delta (2000)F_{35},\Delta (1940)D_{33}$, and $N(2080)D_{13}$, as well as the missing resonance $N{\frac{3}{2}}^{-}(2095)$ predicted in the quark model. Predictions on the differential cross section and photon asymmetry in this reaction are also given.

Figure 1

Feynman diagrams for $\gamma p\to K^{+}{\Sigma }^{*0}$. $N^{\text{'}}$ stands for the nucleon, Δ, and their resonances, and $Y^{\text{'}}$ the $\Lambda ,\Sigma$, and their resonances. For details of the contact term [diagram (d)] used in the present work, see Eq. (15).

Figure 2

Total cross sections for $\gamma p\to K^{+}{\Sigma }^0(1385)$ without resonance contributions. The pre-1970s data are from Refs. [11, 12, 13] and the preliminary data of CLAS Collaboration are from Ref. [5].

Figure 3

Total cross sections for the $\gamma p\to K^{+}{\Sigma }^0(1385)$ reaction with the resonances listed in Tables and . See the text for the details.

Figure 4

Contributions from various resonances to the total cross section for $\gamma p\to K^{+}{\Sigma }^0(1385)$.

Figure 5

Differential cross sections for $\gamma p\to K^{+}{\Sigma }^0(1385)$ at $E_{\gamma }=1.7,1.8,1.9$, and $2.3$ GeV with the inclusion of resonances. The dash-dash-dotted line is the sum of the resonance terms. See the text for the details.

Figure 6

Single photon asymmetry for the reaction $\gamma p\to K^{+}{\Sigma }^0(1385)$ at $E_{\gamma }=1.7,1.8,1.9$, and $2.3$ GeV. Dashed lines are without the resonance contributions. Solid lines are obtained with the PDG resonances, whereas the dot-dashed lines are with all resonances considered in the present work.